The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... where the next number in the sequence is simply the sum of the previous two numbers. As more terms are added to the sequence, the ratio of adjacent terms approaches the golden ratio.

What is the ratio of the tenth term to the ninth term shown, expressed as a decimal rounded to the nearest thousandth? (Hint: Use a calculator.)

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